Question

The ages of Nishi and Vinnee are in the ratio 6:5 respectively. After 9 years, the ratio of their ages will be 9:8.what is the difference in their ages now ?

(a) 3 years              
(b) 5 years     
(c) 7 years
(d) 9 years             
(e) none of these​

Answer 1

☛ Question :-

The ages of Nishi and Vinnee are in the ratio 6:5 respectively. After 9 years, the ratio of their ages will be 9:8.what is the difference in their ages now ?

(a) 3 years              

(b) 5 years     

(c) 7 years

(d) 9 years             

(e) none of these

☛ To Find :-

• Difference in their ages.

☛ Solution :-

Let,

• Present age of Nishi = 6x
• Present age of Vinnee = 5x

After 9 years,

• Age of Nishi = 6x + 9
• Age of Vinnee = 5x + 9

↦ 9/8 = 6x+9/5x+9

↦ 45x + 81 = 48x + 72

↦ 9 = 3x

↦ x = 3

Now, Difference in their present age = 6x - 5x = x years ➞ 3 years.

☛ ( A ) option is the right answer